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Finding the Fourth Proportional to 2,297.07, 3,443.55 and 835.19

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Solution

The fourth proportional to 2,297.07, 3,443.55 and 835.19 is: 1,252.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.07 : 3,443.55 = 835.19 : x
  2. Step 2: Convert to fraction form
    2,297.07/3,443.55 = 835.19/x
  3. Step 3: Cross multiply
    2,297.07x = 3,443.55 × 835.19
  4. Step 4: Simplify right side
    2,297.07x = 2,876,030.27
  5. Step 5: Solve for x
    x = 2,876,030.27/2,297.07
  6. Step 6: Final answer
    x = 1,252.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.